Finite-temperature effects on the superfluid Bose–Einstein condensation of confined ultracold atoms in three-dimensional optical lattices

We discuss the finite-temperature phase diagram in the three-dimensional Bose-Hubbard (BH) model in the strong correlation regime, relevant for Bose-Einstein condensates in optical lattices, by employing a quantum rotor approach. In systems with strong on-site repulsive interactions, the rotor U(1)...

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Bibliographic Details
Published in:Journal of physics. B, Atomic, molecular, and optical physics Atomic, molecular, and optical physics, 2009-05, Vol.42 (9), p.095302
Main Authors: Polak, T P, Kopeć, T K
Format: Article
Language:English
Subjects:
Atom, molecule and ion trapping and colling methods
Atomic and molecular physics
Classical and quantum physics: mechanics and fields
Exact sciences and technology
Matter waves
Mechanical control of atoms, molecules and ions
Physics
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Summary:We discuss the finite-temperature phase diagram in the three-dimensional Bose-Hubbard (BH) model in the strong correlation regime, relevant for Bose-Einstein condensates in optical lattices, by employing a quantum rotor approach. In systems with strong on-site repulsive interactions, the rotor U(1) phase variable dual to the local boson density emerges as an important collective field. After establishing the connection between the rotor construction and the on-site interaction in the BH model a robust effective action formalism is developed which allows us to study the superfluid phase transition in various temperature-interaction regimes.
ISSN:0953-4075
1361-6455
DOI:10.1088/0953-4075/42/9/095302